College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 127: 53



Work Step by Step

The Multiplication Property of Inequality states that if a negative number $c$ is multiplied to each side of $a \le b$, then $ac \ge bc$. Thus, if $-\frac{1}{2}x \le 3$, then, multiplying $-2$ to each side of the inequality gives: $-2 (-\frac{1}{2}x) \ge -2(3) \\x \ge -6$ Thus, the missing inequality symbol in the given statement is $\ge$.
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